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- W1517990534 abstract "Soit X une surface algebrique singuliere normale (sur C) plongee dans l'espace projectif P N (C). L'ensemble singularite S de X est un ensemble fini de points isoles. En restreignant la metrique de Fubini-Study de P N (C) a #7B-H=X-S, on obtient une variete de Riemann incomplete (#7B-H,g). On considere le laplacien Δ=δd agissant sur les fonctions de carre integrable sur (#7B-H,g). On demontre que: 1) le laplacien Δ est auto-adjoint; 2) l'operateur de la chaleur exp(−Δt) est de classe trace, et il existe une constante K>0 telle que Tr exp(−Δt)≤Kt −2 , 0<t≤t 0" @default.
- W1517990534 created "2016-06-24" @default.
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- W1517990534 date "1988-01-01" @default.
- W1517990534 modified "2023-09-29" @default.
- W1517990534 title "On the heat operators of normal singular algebraic surfaces" @default.
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- W1517990534 doi "https://doi.org/10.4310/jdg/1214442159" @default.
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